Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

322×

body

valid

simplify733.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	8	9
1	14	8
2	24	8
3	40	8
4	60	8
5	80	8
6	97	8
7	123	8
8	168	8
9	242	8
10	305	8
11	340	8
12	369	8
13	389	8
14	393	8
done	393	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- 1.0 x) y) (* x z))
0.0b	(* (- 1.0 x) y)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
1×	`+-commutative` `flip3--` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

17.0ms	(+ (* (- 1.0 x) y) (* x z))
34.0ms	(* (- 1.0 x) y)

series135.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ (* (- 1.0 x) y) (* x z))
64.0ms	(* (- 1.0 x) y)

simplify2.6s

Counts

44 → 44

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	75	437
1	196	389
2	731	363
3	3395	361
done	5000	361

prune176.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- 1.0 x) y)) (cbrt (* (- 1.0 x) y)))
0.6b	(cbrt (* (- 1.0 x) y))
0.6b	(cbrt (* (- 1.0 x) y))
0.6b	(cbrt (* (- 1.0 x) y))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

62.0ms	(* (cbrt (* (- 1.0 x) y)) (cbrt (* (- 1.0 x) y)))
17.0ms	(cbrt (* (- 1.0 x) y))
9.0ms	(cbrt (* (- 1.0 x) y))
9.0ms	(cbrt (* (- 1.0 x) y))

series763.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(* (cbrt (* (- 1.0 x) y)) (cbrt (* (- 1.0 x) y)))
166.0ms	(cbrt (* (- 1.0 x) y))
160.0ms	(cbrt (* (- 1.0 x) y))
180.0ms	(cbrt (* (- 1.0 x) y))

simplify2.1s

Counts

92 → 92

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	158	1699
1	383	1555
2	999	1433
3	2879	1179
done	5000	1104

prune376.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
2.9b	(* (- (* 1.0 1.0) (* x x)) y)
8.5b	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
10×	`add-exp-log` `fma-def` `add-cbrt-cube`
9×	`add-cube-cbrt`
8×	`times-frac`
5×	`pow1` `add-log-exp`
4×	`associate-l` `associate-l/` `associate-/r` `associate-/r/`
3×	`expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `pow-prod-down` `clear-num` `sum-log` `-commutative` `associate-/l` `difference-of-squares` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

56.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
33.0ms	(* (- (* 1.0 1.0) (* x x)) y)
41.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

series230.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
59.0ms	(* (- (* 1.0 1.0) (* x x)) y)
82.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

simplify1.7s

Counts

84 → 84

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	128	1247
1	381	1171
2	1607	1023
done	5002	809

prune318.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x z (* 1.0 (- y (* x y))))
0.0b	(- y (* x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `flip--` `fma-udef`

Counts

2 → 31

Calls

2 calls:

0.0ms	(fma x z (* 1.0 (- y (* x y))))
8.0ms	(- y (* x y))

series124.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(fma x z (* 1.0 (- y (* x y))))
53.0ms	(- y (* x y))

simplify4.7s

Counts

37 → 37

Iterations

Useful iterations: 4 (2.8s)

Iter	Nodes	Cost
0	58	382
1	126	373
2	327	324
3	1135	319
4	4427	300
done	5000	300

prune170.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	9	10
done	9	10

end0.0ms

sample714.0ms

Algorithm

intervals

Results

314.0ms

10051×

body

valid